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1221303424 = 27116071429
BaseRepresentation
bin100100011001011…
…1001110010000000
310011010002122100011
41020302321302000
510000123202144
6321104434304
742156623245
oct11062716200
93133078304
101221303424
11577437380
122a1018994
13166042c63
14b82b75cc
1572347a34
hex48cb9c80

1221303424 has 64 divisors (see below), whose sum is σ = 2660486400. Its totient is φ = 553835520.

The previous prime is 1221303401. The next prime is 1221303439. The reversal of 1221303424 is 4243031221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1221303395 and 1221303404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853942 + ... + 855370.

It is an arithmetic number, because the mean of its divisors is an integer number (41570100).

Almost surely, 21221303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330243200).

1221303424 is an abundant number, since it is smaller than the sum of its proper divisors (1439182976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221303424 is a wasteful number, since it uses less digits than its factorization.

1221303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1221303424 is about 34947.1518725060. The cubic root of 1221303424 is about 1068.9101267594.

Adding to 1221303424 its reverse (4243031221), we get a palindrome (5464334645).

The spelling of 1221303424 in words is "one billion, two hundred twenty-one million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 607 704 1214 1408 1429 2428 2858 4856 5716 6677 9712 11432 13354 15719 19424 22864 26708 31438 38848 45728 53416 62876 77696 91456 106832 125752 182912 213664 251504 427328 503008 854656 867403 1006016 1734806 2012032 3469612 6939224 9541433 13878448 19082866 27756896 38165732 55513792 76331464 111027584 152662928 305325856 610651712 1221303424